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Finding the Fourth Proportional to 30,877.56, 42,611.12 and 16,730.40

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Solution

The fourth proportional to 30,877.56, 42,611.12 and 16,730.40 is: 23,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.56 : 42,611.12 = 16,730.40 : x
  2. Step 2: Convert to fraction form
    30,877.56/42,611.12 = 16,730.40/x
  3. Step 3: Cross multiply
    30,877.56x = 42,611.12 × 16,730.40
  4. Step 4: Simplify right side
    30,877.56x = 712,901,082.05
  5. Step 5: Solve for x
    x = 712,901,082.05/30,877.56
  6. Step 6: Final answer
    x = 23,088.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.